Flow around the bluff body has piqued researchers’ interest for over a century. Vortex-induced vibration (VIV) is one of many nonlinear phenomena where body motion is governed by the flow around the bluff body. Present numerical work illuminates the VIV phenomenon of rigidly coupled two cylinders. The cylinders are circular and of equal diameter. The Reynolds number, Re, is 150, and the flow is in the laminar region. The two cylinders are arranged diagonally, and the horizontal and vertical spacing are fixed at 2.0 and 3.0, respectively. The effects of input parameters such as reduced velocity, \({U}^{*}\) , and damping ratio, \(\zeta\) , are observed on vibration amplitude, phase difference, frequency, and average power generation. The damping ratio is varied between 0.04 and 0.24. Increasing damping reduces the oscillation amplitude. Maximum amplitude is noticed at the lowest damping in the range \(3.0 \le {U}^{*} \le 8.5\) . The variation of oscillation amplitude with \({U}^{*}\) is observed to be non-monotonic. A peak power is observed at a particular \({U}^{*}\) at every damping. Average power depends on the damping and velocity of the cylinders. The opposing nature of variation of velocity and damping as the damping increases governs the nature of harnessed power. We have obtained an optimal damping for peak power generation, which is \(\zeta\) = 0.10. For the present case, the peak of maximum average extracted power is close to 0.283 at \(\zeta\) = 0.10. The maximum harnessed is more than two times the power generated by a single cylinder and four times that of the rigidly coupled cylinder in tandem.